Hello there, today we will solve your problem.
Number 1
Definitions
________________
Supplementary - either of two angles whose sum is 180°.
Complementary - either of two angles whose sum is 90°.
________________
Since we know that supplementary angles are angles that add up to 180° we can make an equation
Let's phrase ∠B as x and substitute ∠A as 65°
________________
________________
Number 2
Since we know that complementary angles are angles that add up to 90° we can make an equation
Let's phrase ∠B as x and substitute ∠A as 65°
________________
________________
Number 1 : ∠B = 115°
Number 2 : ∠B = 25°